Final answer:
After simplifying (2n - 7n) to -5n, and then distributing -5n over (8 + 6n), we get -30n² - 40n, which doesn't match any of the provided answer choices. There might be an error in the question or options.
Step-by-step explanation:
To solve the expression (2n - 7n) * (8 + 6n), let's simplify it step-by-step. First, simplify the terms within the parentheses on the left side:
Now, multiply this result with each term in the parentheses on the right side:
- -5n * 8 = -40n
- -5n * 6n = -30n²
Combine these two products to get the full expression:
Since none of the answer choices match this result, it seems there may be a mistake in the question or the answer options. Please review the original problem to ensure there's no error.